Dr$.$ Gulakowicz is an orthodontist. She estimates that adding two new chairs will increase fixed costs by

$$149,000,$

including the annual equivalent cost of the capital investment and the salary of one more technician. Each new patient is expected to bring in $$2,970$

per year in additional revenue, with variable costs estimated at $$990$

per patient. The two new chairs will allow Dr$.$ Gulakowicz to expand her practice by as many as

$185$

patients annually. How many patients would have to be added for the new process to break even?

Part $2$

The break$-$even volume is

patients. $($Enter your response rounded to the nearest whole number.$)$